Module 5 Handling data
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Can I make and use lists and tables to organise and interpret information to solve a problem?

Example review questions

  • John thinks of two numbers with a total of 15. List all possible pairs of numbers. John’s numbers multiply to give 54. What were the numbers?
  • Use the digits 2 5 7 once each to make a three-digit number. How many different numbers is it possible to make? How do you know you have found them all?
  • Look at these prices for going swimming. Penny’s dad goes swimming. How much more does it cost him to swim at the weekend than in the week? Explain how you found your answer.
    A table depicting information about prices at the swimming pool. It costs three pounds seventy-five for an adult to swim on monday to friday, and four pounds fifty at the weekend. It costs one pound fifty for a child to swim on monday to friday and one pound seventy-five at the weekend.

Teaching guidance

This teaching guidance document suggests some of the key vocabulary, models, images and practical equipment that children should experience and be able to use. It also includes some teaching tips to provide a few starting points for ways of supporting children with this area of mathematics.

DOC file Can I make and use lists and tables to organise and interpret information to solve a problem? - teaching guidance | 80KB new window

Consolidation and practice

These resources are to support children in guided or independent work. Roll over the highlighted resource for a description.

DOC file Guess my shape/number guide | 155KB new window

XLS file Guess my shape/number | 63KB new window

SWF file Play train new window

PDF file Mathematical challenges booklet, number 36, Treasure hunt | 920KB new window

DOC file Micky's mice problem teaching activity | 121KB new window

Play train

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Polygon

itp_polygons.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of shape, space and measure. Polygon ITP allows the child or teacher to represent regular polygons with three to ten sides. The ITP can then be used to explore the properties of regular and irregular shapes by dragging vertices and creating additional vertices. The ITP includes an on-screen protractor and ruler.

Fixing points

itp_fixing_points.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of shape and space. Fixing points ITP allows the child or teacher to create one or more shapes by connecting a number of vertices on a grid. Angles can be estimated and measured, and the effect of moving different vertices can be explored.

Opportunities to use and apply

Possible contexts include:

  • number facts, e.g.
    20 + 0 = 20
    19 + 1 = 20
    18 + 2 = 20 …
    Continue this list and describe the patterns you can see.
  • real-life problems, e.g. Organise a rota for tidying the cloakroom.
  • number problems and puzzles, e.g. Two numbers have a product of 24 and a difference of five. What could you write down to help you find the two numbers?
  • science, e.g. Collect data about cooling liquids over time, such as the temperature of cooling tea every five minutes. Record the results in a table.

Confirming learning

Ask probing questions such as:

  • In my purse I have lots of £1, 10p and 1p coins. I pick out two coins. Use a table or a list to record which two coins I could have. What possible totals could I have picked?
  • We think most children in our class walk to school. Explain how you could find out whether this is true. What would you record?
  • What lists or tables can you see in the classroom? Explain how and why you might use them.
  • Can you tell me three things from this frequency table?
    A frequency table with two columns: Days, and Number of school dinners. Monday, Tuesday, Wednesday, Thursday and Friday appear in the days column. 11, 13, 17, 8 and 13 appear in the number of school dinners column.